Find the total area between the curve y = f(x) x2 – 3x – 4 and the x-axis, for x between x = -5 and x = 6. By 'total area' we mean the sum of the areas of the physical regions which lie between the curve and the x-axis for -5 < x < 6, regardless of whether the curve is above or below the x-axis. See the linked example. Total Area = Σ Next, evaluate the integral. f(x) dx = Σ -5 Interpret the value of the integral in terms of areas. Be sure you can indicate how it is related to the answer you got for the total area between the graph and the x-axis between x = -5 and x = 6.

Q: The region between the graphs of f(x)=x^2+3 and g(x)=−x+5 has ____________area square units.

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Q: 7. Find the average rate of Change of f(x) = 2x2-7 on the interval [2, 2 + t].

A: Consider the given function, fx=2x2-7 At x = 2+t, f2+t=22+t2-7=24+4t+t2-7=8+8t+2t2-7=2t2+8t+1 At x =…

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A: Answer

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Q: A factory selling cell phones has a marginal cost function C(x) = 0.01x – 3x + 229, where x…

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Q: A factory selling cell phones has a marginal cost function C(x) = 0.01² - 3x +229, where a…

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Q: Find the average rate of change of the given function on the interval [0,3]. F(x)=-x^2+2x+2

A: Topic = Functions

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Q: 4. Find the average rate of change of f(x) = 3x - 5 from x = 0 to x = 4.

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Q: Approximate the area under the following curve and above the x-axis on the given interval, using…

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Q: 2. For a substance C, the time rate of comversion is proportional to the square of the amount x of…

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Q: The cost of producing x bags of dog food is given by C(x) = 300 + 0 + / 100 + 25x -x where 0sxs5000.…

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Q: Find the average rate of change of g(x) 2x 5 from x – 1 to r = 4.

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A: Given: Marginal cost function is given as:

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Q: Find the average rate of change for the function over the given interval. 11) f(x) = x2 + 1x between…

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Q: Find the average rates of change of f(x) = x2 + 2x (a) from x1 = −3 to x2 = −2 and (b) from x1 = −2…

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A: we have to find average rate of change of f(x) between [2+h,2] using formula mentioned above

Q: Find the average rate of change for f (x) = x2 + 1 between x = 2 and x = 5 O 1/7 -7 O - 1/7

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Q: Find the average rate of change of the function f(x)=−2x^2+5 between x=−1 and x=3

A: given function :

Q: A fight promoter sells x tickets and has a marginal-revenue function given by the following. R '(x)…

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Q: A factory selling cell phones has a marginal cost function C(x) = 0.01x² – 3x + 229, where a…

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Q: Find the average rate of change of g (x) = -2.x-2x from x = 2 to x 6. Simplify your answer as much…

A: We can find the average rate of change of a function as below in the following steps.

Q: Calculate L6 for f(x) = v5x + 3 over [1,3]. (Give your answer to three decimal places.) L6 =

A:

Q: The region between the graphs of f(x) = x² + 3 and g(x) = x + 9 has area square units.

A: SOLUTION-

Q: 5. How do the average rates of change for f(x) = – 0.5x and g(x) = - 1.5x² over the interval -5 < x…

A: Given functions are f(x)=-0.5x2 and g(x)=-1.5x2 over the interval [-5,-2] We know that average rate…

Q: Estimate the area under the graph of f(x) = 9 + 2x2 from x = −1 to x = 2 using three rectangles…

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Q: A factory selling cell phones has a marginal cost function C(x) = 0.01x² – 3x + 229, where a…

A: Given : C(x) = 0.01x² - 3x + 229 and        R(x)  = 429 - 2x

Q: Find the average rate of change of the function f(x) interval1 ≤ x ≤ 6. none of the above 162/8 34…

A: I have given the answer in the next step. Hope you understand that

Q: Let g(x) = 6x + 7 and h(x) = x² + 8. What is the average rate of change of g on the interva 2 < x <…

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Q: The average value of the function f(x)=x² on the interval [0 , b] is 12 What is the value of b ?…

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Q: For the function given by g (x)= x² + 2x +1, find the average rate of change of function over the…

A: We will find the average rate of change of function as following.

Q: Determine the value of a so that the average rate of change of the function f(x) = 3x² + ax -4 over…

A: The average rate of change of the function fx can be calculated by the following formula. Average…

Q: The cost of producing x bags of dog food is given by C(x) = 500 + V 100 + 50x – x where 0sxs5000.…

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Q: find the absoute extrema for the function 5 (x )=9rX - 3x"on the given in tervalOL x < H

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Q: 14. For the function f (x) = 10 - 5x find the average rate of change from x = a to x = a + h %3D

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Q: On the function f(x) = 2x2+x-1, determine the average rate of change from x=1 to x=3.

A: It simply solve by the function average definition

Q: Find the area of a triangle bounded by the yy axis, the line f(x)=7−(1/3x) and the line…

A: We have given the line f(x)=7−(1/3x)

Q: A factory selling cell phones has a marginal cost function C(x) = 0.01x² – 3x + 229, where…

A: Given that: Cx=0.01x2−3x+229Rx=429−2x To find the area between the graph.

Q: Find the average rate of change of the function from x1 to x2 f(x)= 5x+7  from x1=-1 to x2=0

A: